QUESTION SET 1 DIFFICULTY: HARD. 1) Figure below shows a many-to-one relationship. Rajah di bawah menunjukkan hubungan banyak kepada satu.

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1 QUESTION SET 1 DIFFICULTY: HARD 1) Figure below shows a many-to-one relationship. Rajah di bawah menunjukkan hubungan banyak kepada satu. Find: Cari: a) the domain domain b) image of 3 imej bagi 3 c) the range julat d) objects of 0 objek-objek bagi 0 [4 marks] [4 markah] 1

2 2) Find the value of: Cari nilai bagi: a) b) [2 marks] [2 markah] 3) A quadratic equation has two roots, and. Write the quadratic equation in the form of. Suatu persamaan kuadratik mempunyai dua punca, dan. Tuliskan persamaan kuadratik tersebut dalam bentuk. 2

3 4) Figure below shows a trapezium with the area 40. Rajah di bawah menunjukkan sebuah trapezium dengan luas 40. cm cm cm Find the value of. Cari nilai bagi. 3

4 5) Figure below shows a quadratic function. Rajah menunjukkan suatu fungsi kuadratik. Find the value of Cari nilai bagi a) b) 6) Find the range value of if the equation has no real roots. Cari julat nilai jika persamaan tidak mempunyai punca nyata. 4

5 7) Solve. Selesaikan. 8) Given that, find the value of Diberi bahawa, cari nilai bagi a) b) 5

6 9) and are four consecutive terms in arithmetic progression with first term 6 and common difference 5. Given that the sum of the four terms are 154, find the value of. dan adalah empat sebutan berturutan dalam janjang artimetik dengan sebutan pertama 6 dan beza sepunya 5. Diberi bahawa hasil tambah keempat-empat sebutan tersebut adalah 154, cari nilai bagi. 10) and are first five terms in a geometric progression with common ratio. Find the value of. dan adalah lima sebutan pertama dalam janjang geometri dengan nisbah sepunya. Cari nilai bagi. [4 marks] [4 markah] 11) Express in simplest fraction. Ungkapkan dalam pecahan termudah. [4 marks] [4 markah] 6

7 12) The points plotted in a Cartesian plane satisfy the equation. Titik-titik yang diplotkan atas satah Cartesian memuaskan persamaan. Based on the graph, Berdasarkan graf, a) convert the equation into a linear form. tukarkan persamaan berikut kepada bentuk linear. b) find the possible value of. cari nilai mungkin bagi. 7

8 13) Figure shows a kite. and are straight lines. Rajah menunjukkan lelayang. dan adalah garis lurus. Find the equation of the straight line. Cari persamaan bagi garis lurus. [4 marks] [4 markah] 8

9 14) is a point on Cartesian plane. Find the equation of locus of circle of radius which passes through the origin. ialah suatu titik pada satah Cartesian. Cari persamaan lokus bagi bulatan dengan jejari yang melalui asalan. 9

10 15) Figure below shows a triangle. is a straight line. Rajah di bawah menunjukkan segi tiga. ialah garis lurus. Given that and the area of triangle is, find the area of triangle in. Diberi bahawa dan luas segi tiga ialah, cari luas segitiga dalam. [4 marks] [4 markah] 10

11 16) 11

12 17) Figure shows a semicircle and a sector. Rajah menunjukkan sebuah semibulatan dan sektor. The perimeter of the whole diagram is cm. Find the radius of the sector. Perimeter bagi seluruh diagram ialah cm. Cari jejari sektor tersebut. 12

13 18) 19) A curve has a minimum point at (3, -2). Find the value of and. Suatu lengkung mempunyai titik minimum pada (3, -2). Cari nilai bagi dan. 13

14 20) Figure shows two curves, and. The area of shaded region is 24 Rajah menunjukkan dua lengkung, dan. Luas rantau berlorek ialah 24 Find the value of: Cari nilai bagi: 14

15 21) Table shows an incomplete information of sets of data and. Jadual menunjukkan maklumat tidak lengkap tentang set data dan. Set Set Number of data Bilangan data Mean Min Sum of square of data Hasil tambah kuasa dua setiap data Combination Gabungan Find the standard deviation for combination sets of data and. Cari sisihan piawai bagi gabungan set data and. 15

16 22) There are five boys and four girls in a dancing club. They are having photo session before they participate a dancing competition. Terdapat lima orang lelaki dan empat orang perempuan dalam kelab tarian. Mereka mengadakan sesi penggambaran sebelum menyertai pertandingan menari. a) All male and female members are sitting alternately in a photo session. Calculate the number of ways these members can be arranged in a row. Semua ahli lelaki dan perempuan duduk secara berselang-seli dalam sesi penggambaran. Hitungkan bilangan cara ahli-ahli tersebut boleh disusun dalam satu baris. b) If three boys and two girls participate the dancing competition, calculate the number of ways the members can be chosen to form a team. Jika tiga lelaki dan dua perempuan menyertai pertandingan menari, hitungkan bilangan cara ahli-ahli boleh dipilih untuk membentuk satu kumpulan. 16

17 23) There are 2 red marbles, 4 yellow marbles, 3 green marbles and 2 blue marbles in a bag. Ahmad takes four marbles at once in the bag. Calculate the probability that two yellow marbles and two green marbles are taken. Terdapat 2 biji guli merah, 4 biji guli kuning, 3 biji guli hijau dan 2 biji guli biru dalam satu beg. Ahmad mengambil empat biji guli sekaligus dalam beg tersebut. Hitungkan kebarangkalian bahawa dua biji guli kuning dan dua biji guli hijau telah diambil. 24) 17

18 25) The dice is rolled five times while the coin is flipped four times. Find the probability that the multiple of 3 on the dice lands thrice and the head on the coin lands twice. Sebuah dadu dilambung sebanyak lima kali manakala sekeping duit syiling dilambung sebanyak empat kali. Cari kebarangkalian bahawa gandaan 3 pada dadu berlaku tiga kali dan angka pada duit syiling berlaku dua kali. [4 marks] [4 markah]. 18

19 ANSWERS 1) a) b) 5 c) d) 0, 6 2) a) 20 b) 10 3) =0 4) 4 (-4 is not acceptable) 5) a) 3 b) 5 6) 7) 8) a) 3 b) 9) 31 10) 15 11) 12) a) b) 4 13) 14) 15) ) 17) 3.8 cm 18) 98 19) 20) ) ) a) 2880 b) 60 23) 24) 25) ( ) 19

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